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Vimal Vinod (dalekvim)
United Kingdom
Приєднався 28 січ 2015
Hi! I’m a student at the University of Warwick studying maths. 🤓
I used to make all sorts of videos in the past with my little brother (most of them are private now), but most of my videos now are about the things I’m learning at uni.
I’m thinking about making coding videos in the future. Also start vlogging.
I used to make all sorts of videos in the past with my little brother (most of them are private now), but most of my videos now are about the things I’m learning at uni.
I’m thinking about making coding videos in the future. Also start vlogging.
An application of the dominated convergence theorem | MA359 A3 Q2
We answer question two from Measure theory assignment three.
Переглядів: 70
Відео
Proof of the fundamental theorem of algebra | Application of Rouché's theorem
Переглядів 9321 день тому
We use Rouché's theorem to prove the fundamental theorem of algebra.
Proof of Rouché's theorem | Complex Analysis
Переглядів 10421 день тому
We prove Roche theorem using the argument principle.
Proof of Cauchy’s integral formula | Complex Analysis
Переглядів 12621 день тому
We prove Cauchy’s integral formula using Cauchy’s deformation theorem.
Proof of the Argument Principle | Complex Analysis
Переглядів 4821 день тому
We prove the argument principle from complex analysis, which let’s work out the difference between the number of zeros the number of poles within a closed contour, of a Meromorphic function.
If a Prime divides the Numerator, but not the Denominator, then the prime divides the quotient
Переглядів 10421 день тому
We prove a lemma used in a proof of the prime number theorem. It follows from Euclid’s lemma.
Proof of Cauchy-Goursat theorem for Polynomials via Green’s theorem
Переглядів 10121 день тому
We use Green’s theorem to prove Cauchy-Goursat for polynomials. This proof doesn’t work in general as it requires the real and imaginary part of the function where integrating to have a continuous derivative.
The quadratic equation
Переглядів 5321 день тому
We give a proof of the quadratic equation using the discriminant.
Degree of the extension R adjoin square root of a negative number | MA3D5 A1 Q6
Переглядів 3321 день тому
In this video, we do a problem from Galois theory sheet one. We show R (the set of real numbers) doesn’t contain the square root of negative number, find the minimal polynomial of the square root of a negative number, and deduce the degree of the extension R adjoin the square root of a negative number is 2.
e and pi are algebraic over Q(e + pi, e * pi) | MA3A6 S1 Q5
Переглядів 4021 день тому
This is sheet one question five from algebraic number theory.
A field K is Q adjoin its Q-basis | MA3A6 S1 Q7
Переглядів 2821 день тому
We show that a field K is equal to Q adjoin its Q-basis. This is question seven from algebraic number theory sheet one.
Degree of Q adjoin primitive p th root of unity | cyclotomic polynomial irreducible | MA3A6 S1 Q9
Переглядів 5228 днів тому
We do question nine from algebraic number theory sheet one: Show that the p th cyclotomic polynomial is the minimal polynomial of any primitive p th root of unity, and deduce the degree of the field extension Q adjoin a primitive p th root of unity, over Q, is p - 1.
Intersection of a union of closed intervals containing K | MA359 A2 Q1 P1
Переглядів 2228 днів тому
We do the first part of question one in the measure theory assignment one: Let K be a closed subset of the interval [0, 1], and let F_n be the union of sets of the form [m/n, (m 1)/n] which contain at least one element in K. Show that the intersection of all F_n, where n is a positive integer, is K.
The Borel sigma-algebra is generated by (-inf, a) | MA359 A1 Q2
Переглядів 82Місяць тому
The Borel sigma-algebra is generated by (-inf, a) | MA359 A1 Q2
Union of an increasing sequence of sigma-algebras | MA359 A1 Q1
Переглядів 51Місяць тому
Union of an increasing sequence of sigma-algebras | MA359 A1 Q1
Euler’s reflection formula | 1/2 factorial
Переглядів 77Місяць тому
Euler’s reflection formula | 1/2 factorial
Extending the factorial using the Pochhammer Symbol
Переглядів 492 місяці тому
Extending the factorial using the Pochhammer Symbol
Integrating cos x / x^2 + 1 with Complex Analysis (Part 1)
Переглядів 843 місяці тому
Integrating cos x / x^2 1 with Complex Analysis (Part 1)
Residue of Poles of Higher Degree (in less than 5 minutes)
Переглядів 263 місяці тому
Residue of Poles of Higher Degree (in less than 5 minutes)
Residue of a Simple Pole (in less than 4 minutes)
Переглядів 413 місяці тому
Residue of a Simple Pole (in less than 4 minutes)
Cauchy’s Deformation Theorem & Residues in less than 3 minutes
Переглядів 223 місяці тому
Cauchy’s Deformation Theorem & Residues in less than 3 minutes
Complex Integration Explained in 7 Minutes
Переглядів 1753 місяці тому
Complex Integration Explained in 7 Minutes
Note taking Progressive Web App (PWA) example
Переглядів 466 місяців тому
Note taking Progressive Web App (PWA) example
Both 1\2
yeah, that’s right 🔥
Very useful,it helped me a lot
glad it helped!! have a merry christmas🎄
Can you make videos about trigonometry concepts?
thanks for the suggestion!! we don’t often use trigonometry at uni, except the angle sum for formulas - I’ve wanted to make videos on that for awhile 🤓 Merry Christmas 🎄
so many videos, on the grind!!
thanks for the comment!! I’m making them while I can ✍️ since it’s busy during term time. wish you a merry Christmas break 🎄
@@dalekvim merry christmas!
loving the outpour of videos!! great quality :)
thank you so much for your continued support! it means a lot I’ll keep doing my best ☺️ you’re your third year now, right? hope it’s going well for you!! 💪
@@dalekvim yes got lots of exams but applied to med school. love the math in my spare time though!
nice video :)
Can you create some videos about polynomial because I'm going to study about it in next 2 days
Hi StudyWala, thanks for the video request! 🔥 Sure I can make videos about polynomials (probably after I get to university next week) - is there anything specific (about polynomials) you would like me to cover (like factorisation, stationary points, etc…)? 👂 Also, if you don’t mind me asking what level are you studying at (GCSE or A Level)? 🧐
@@dalekvim nothing special but i just want you to create some creative videos about creative concepts of polynomials
AYYY UR BACK, loving the vid
Thanks for watching - glad you like it! ❤️🔥
On a roll! Love it :)
Thank you ☺️
I love your videos, i'm aspiring to get a phd in math. Please don't stop sharing your journey. You deserve so many more subscribers!!
Thank you so much! Sorry I took so long to reply, I very rarely get comments on these videos 😂 It’s really great to hear that you’re aiming for a PhD, do you know what field you want to specialise in? Wish you the best of luck in your studies!
Trying to get an MD first as a backup, i'll do masters in math during my md program. MD aint that difficult so i've beent trying to do math in my spare time. Second year student but i've taught my self calc 1-3, diff eq., currently doing real analysis. Wanna go into algebraic geometry. @@dalekvim
😢 Promo_SM
🤔